1. Calculate and plot the FFT of pulses of width 11 and 251 samples. Compare the Fourier spectra with those you would expect from theory

Number_Of_Samples = 2^10;                                     % the number of samples to be generated
% the ' symbols in the two lines below change a row vector into a column vector
T = (0:Number_Of_Samples-1)'/Number_Of_Samples;               % these are the equally spaced sample times
Freq = ( -Number_Of_Samples/2:Number_Of_Samples/2-1 )';       % these are the frequencies present in the sampled sequence

%   ******************************************************
%   **      Plot a pulse and its Fourier Transform      **
%   ******************************************************

%   Define pulse signal of the given width
Width = 21;                                       % pulse width in samples: use an odd number for best results
Signal = Pulse(Width,Number_Of_Samples);